# Hyperbolic triangle ( length of the altitude)

## Description

A hyperbolic sector is a region of the Cartesian plane {(x,y)} bounded by rays from the origin to two points (a, 1/a) and (b, 1/b) and by the hyperbola xy =1.

When in standard position, a hyperbolic sector determines a hyperbolic triangle, the right triangle with one vertex at the origin, base on the diagonal ray y = x, and third vertex on the hyperbola then xy =1. The altitude of the hyperbolic triangle is proportional to the sinh(u).

## Variables

L_{alt} | The length of the altitude of the Hyperbolic triangle (dimensionless) |

u | The hyperbolic angle (dimensionless) |